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DynamicalSystems.jl
What DynamicalSystems.jl is
DynamicalSystems.jl is a free, open-source Julia library for nonlinear dynamics and nonlinear time-series analysis, intended for research and education. Its methods cover complexity measures, delay embeddings, periodic orbits, stability analysis, attractor basins, continuation, chaos, fractal dimensions, surrogate testing, and recurrence quantification. It re-exports packages including ComplexityMeasures, DelayEmbeddings, ChaosTools, Attractors, and PeriodicOrbits. The project describes visualization and animation options for interactive or offline use; with Makie in scope, these include trajectory interfaces and specialized GUI applications. Its documentation contains hundreds of tutorials and examples, with scientific descriptions and references for algorithms. The project says the library is written in Julia, optimized, and parallelized, and aims to support reproducible analyses through Julia environments, testing, and ready-to-use algorithms. Installation uses Julia's package manager. Documentation describes interoperability for Python, R, and MATLAB users, including a Python example using juliacall with ComplexityMeasures.jl. One caveat: version numbers do not strictly follow SemVer 2.0, so minor algorithm changes may be breaking without a major version increment.
Who it suits
The library is for researchers and educators working with nonlinear dynamics or nonlinear time series in Julia. It may also suit Python, R, or MATLAB users seeking access to parts of the Julia ecosystem.
What it does well
- Covers a broad range of nonlinear dynamics methods.
- Includes hundreds of tutorials and examples.
- Provides interactive or offline visualizations and animations.
- Free and open source.
What to know first
- Requires Julia package installation.
- Minor algorithm changes may break compatibility without a major version increment.
- PredefinedDynamicalSystems.jl is not guaranteed stable.
Plans
| Plan | Billed and limits | Price |
|---|---|---|
| DynamicalSystems.jl | 100% open source · Julia package | Free |
As juliadynamics.github.io lists them, read 4 Oct 2026. The maker's own page has the final word.
Getting started
- Open the DynamicalSystems.jl documentation website.
- Install Julia.
- Run `import Pkg; Pkg.add("DynamicalSystems")` in Julia.
- Use the tutorials and examples to explore the documented methods.
- For support, ask involved questions on Julia Discourse or report unexpected behavior through GitHub issues.
Verdict
DynamicalSystems.jl offers a broad collection of analysis methods, documentation, and visualization options as a free Julia package. Users should account for its compatibility caveat, particularly when relying on individual algorithms.
Questions
How much does DynamicalSystems.jl cost?
The listed plan is free, and the project describes the library as free.
Is DynamicalSystems.jl open source?
Yes. The project describes it as 100% open source and community-built on GitHub.
Which operating systems does it support?
The listed platforms are Linux, macOS, and Windows. Delivery mode is desktop.
What can it analyze?
Its stated methods include complexity measures, delay embeddings, periodic orbits, stability, attractor basins, continuation, chaos, fractal dimensions, surrogate testing, and recurrence quantification.
Can Python, R, or MATLAB users use it?
The documentation describes interoperability for Python, R, and MATLAB users. It gives juliacall with ComplexityMeasures.jl as a Python example.
Where can users get help?
The project points users to Julia Discourse, Julia Slack, and GitHub issues. It recommends Discourse for involved questions and issues for unexpected behavior.
Facts from DynamicalSystems.jl's own pages
- Analysis features
- Its stated functionality includes complexity measures, delay embeddings, periodic orbits, stability analysis, basins of attraction, continuation, chaos, fractal dimensions, surrogate testing, and recurrence quantification analysis. · juliadynamics.github.io, 4 Oct 2026
- Analysis methods
- The library includes tools for complexity measures, delay embeddings, periodic orbits, stability analysis, attractor basins, continuation, chaos, fractal dimensions, surrogate testing, and recurrence quantification. · juliadynamics.github.io, 4 Oct 2026
- Audience
- The project describes use in scientific research and education, and says it gives teachers a framework for demonstrating runnable nonlinear-dynamics code. · juliadynamics.github.io, 4 Oct 2026
- Authoring tools
- Yes · juliadynamics.github.io, 23 Sept 2026
- Compatibility caveat
- The documentation says version numbers do not strictly follow SemVer 2.0 and minor breaking changes to individual algorithms may occur without a major version increment. · juliadynamics.github.io, 4 Oct 2026
- Composable packages
- The library re-exports packages for measured time-series analysis and dynamical-system instances, including ComplexityMeasures, DelayEmbeddings, ChaosTools, Attractors, and PeriodicOrbits. · juliadynamics.github.io, 4 Oct 2026
- Data export
- Yes · juliadynamics.github.io, 23 Sept 2026
- Delivery mode
- desktop · juliadynamics.github.io, 23 Sept 2026
- Documentation
- The project says its documentation includes hundreds of tutorials and examples, with scientific descriptions and references for implemented algorithms. · juliadynamics.github.io, 4 Oct 2026
- Founded
- 2017 · juliadynamics.github.io, 19 Oct 2026
- Free plan
- Yes · juliadynamics.github.io, 23 Sept 2026
- Installation
- The documented installation command is `import Pkg; Pkg.add("DynamicalSystems")` in Julia. · juliadynamics.github.io, 4 Oct 2026
- Integrations
- The documentation demonstrates visualization with Makie and model construction using ModelingToolkit, and notes that Julia interoperability can enable use from Python through juliacall. · juliadynamics.github.io, 4 Oct 2026
- Interactive visualization
- With Makie in scope, the library provides visualization tools including interactive trajectory interfaces and specialized GUI applications. · juliadynamics.github.io, 4 Oct 2026
- Maintenance
- The library is maintained by George Datseris and includes contributions from multiple people. · juliadynamics.github.io, 4 Oct 2026
- Notable limitation
- The documentation cautions that PredefinedDynamicalSystems.jl has no actual tests, is not guaranteed stable, and is intended for demonstrative examples. · juliadynamics.github.io, 4 Oct 2026
- Offline access
- Yes · juliadynamics.github.io, 23 Sept 2026
- Open source
- The project describes itself as 100% open source and community-built on GitHub. · juliadynamics.github.io, 4 Oct 2026
- Performance
- The project says it is written entirely in Julia, optimized, and parallelized. · juliadynamics.github.io, 4 Oct 2026
- Purpose
- DynamicalSystems.jl is a Julia-based general-purpose library for nonlinear dynamics and nonlinear time-series analysis. · juliadynamics.github.io, 4 Oct 2026
- Reproducibility
- The project aims to support reproducible analyses through Julia's environment support, testing, and a broad collection of ready to use algorithms. · juliadynamics.github.io, 4 Oct 2026
- Support
- Users can ask questions through Julia Discourse, Julia Slack, or GitHub issues, with the project recommending Discourse for involved questions and issues for unexpected behavior. · juliadynamics.github.io, 4 Oct 2026
- Testing
- The project says its functionality is extensively tested and its test suite is run and checked before code changes are merged. · juliadynamics.github.io, 4 Oct 2026
- 3D visuals
- Yes · juliadynamics.github.io, 23 Sept 2026
Where DynamicalSystems.jl stands on Freedom251
- Physics Simulation Software#13 of 89